Increasing the output length of a hash function primarily affects what aspect of security?

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Multiple Choice

Increasing the output length of a hash function primarily affects what aspect of security?

Explanation:
Longer hash outputs expand the hash value space, making brute-force attempts to find a preimage or a collision require more work. Preimage resistance scales with the output length (roughly 2^n attempts for an n-bit output), and collision resistance improves by the birthday bound (roughly 2^(n/2) work). Deterministic mapping and one-way behavior aren’t fundamentally changed by output length, so the main security boost from increasing output length is stronger resistance due to the larger output space.

Longer hash outputs expand the hash value space, making brute-force attempts to find a preimage or a collision require more work. Preimage resistance scales with the output length (roughly 2^n attempts for an n-bit output), and collision resistance improves by the birthday bound (roughly 2^(n/2) work). Deterministic mapping and one-way behavior aren’t fundamentally changed by output length, so the main security boost from increasing output length is stronger resistance due to the larger output space.

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